+ Reply to Thread
Results 1 to 3 of 3

Thread: Type of Discrete Distribution

  1. #1
    Points: 1,454, Level: 21
    Level completed: 54%, Points required for next Level: 46
    DrAnthonyRodriguez's Avatar
    Location
    Guttenberg, New Jersey
    Posts
    14
    Thanks
    0
    Thanked 0 Times in 0 Posts

    Question Type of Discrete Distribution




    What type of discrete probability distribution is the probabilities of the sum of the outcomes of an infinite number of dice rolls? The probabilities are:

    P(2)=1/36, P(3)=2/36, P(4)=3/36, ..., P(12)=1/36

    Thank you.

    Dr. T

  2. #2
    TS Contributor
    Points: 22,410, Level: 93
    Level completed: 6%, Points required for next Level: 940

    Posts
    3,020
    Thanks
    12
    Thanked 565 Times in 537 Posts

    Re: Type of Discrete Distribution

    The pmf you listed is a triangular distribution which result from the sum of two independent dice rolls.

    By Central Limit Theorem, the sum of infinite number of them will be approximately normal with proper scaling (divided by \sqrt{n}).

  3. #3
    Points: 1,454, Level: 21
    Level completed: 54%, Points required for next Level: 46
    DrAnthonyRodriguez's Avatar
    Location
    Guttenberg, New Jersey
    Posts
    14
    Thanks
    0
    Thanked 0 Times in 0 Posts

    Re: Type of Discrete Distribution


    Quote Originally Posted by BGM View Post
    The pmf you listed is a triangular distribution which result from the sum of two independent dice rolls.

    By Central Limit Theorem, the sum of infinite number of them will be approximately normal with proper scaling (divided by \sqrt{n}).
    Dear BGM,

    Thank you for your prompt reply. But, the triangular distribution is a continuous probability distribution, which does not fit with dice rolls, the outcomes of which are discrete.

    Dr. T

+ Reply to Thread

           




Tags for this Thread

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts






Advertise on Talk Stats